Summative Review Number Sense

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Transcript Summative Review Number Sense

th
5
Grade
Summative Review
Addition/Subtraction of Whole Numbers
Order of Operations
Factors/Multiples
Prime/Composite Numbers
Squares and Square Roots
Distributive Property
Estimation
Determining Products
Finding the mean
Writing Algebraic Expressions/Equations
Interpreting Remainders
26 x 7 =
A. (20 x 6) + (6 x 7)
B. (20 + 7) x (6 + 7)
C. (20 x 7) + (6 x 7)
D. (20 x 7) x (6 x 7)
26 x 7 =
A. (20 x 6) + (6 x 7)
B. (20 + 7) x (6 + 7)
C. (20 x 7) + (6 x 7)
D. (20 x 7) x (6 x 7)
Find the product of 29 and 35.
Use any method you would like
to use.
Find the product of 29 and 35.
Use any method you like to use.
The product is 1015.
Solve for x in the problem below:
x – 312 = 542
Solve for x in the problem below:
x – 312 = 542
The answer is
854
Joy, Gary, and Donna each have two bags of
candy. There are twenty pieces of candy in
each bag. Which expression below could be
used to find the total number of pieces of
candy?
A) 3 + 2 + 20
B) 3 x (2 + 20)
C) 3 x 2 x 20
D) 3 + (2 x 20)
Joy, Gary, and Donna each have two bags of
candy. There are twenty pieces of candy in
each bag. Which expression below could be
used to find the total number of pieces of
candy?
A) 3 + 2 + 20
B) 3 x (2 + 20)
C) 3 x 2 x 20
D) 3 + (2 x 20)
Jackie does 35 push-ups every day for x
days. Which expression below
represents the total number of pushups she does?
A) 35 + x
B) 35 – x
C) 35x
D) 35 ÷ x
Jackie does 35 push-ups every day for x
days. Which expression below
represents the total number of pushups she does?
A) 35 + x
B) 35 – x
C) 35x
D) 35 ÷ x
Simplify the following expression:
14 – 2 x 3 + 4
Simplify the following expression:
14 – 2 x 3 + 4
The answer is 12.
Sally needs to simplify the expression
24 – (7 + 1) + 5 x 2
Which operation needs to be done second?
A) Addition
B) Subtraction
C) Multiplication
D) Division
Sally needs to simplify the expression
24 – (7 + 1) + 5 x 2
Which operation needs to be done second?
A) Addition
B) Subtraction
C) Multiplication
D) Division
There are 42 rows of chairs in an
auditorium. Each row has 28 chairs
in it. What is a reasonable estimate
for the number of chairs in the
auditorium?
A) 70 chairs
B) 120 chairs
C) 800 chairs
D) 1200 chairs
There are 42 rows of chairs in an
auditorium. Each row has 28 chairs
in it. What is a reasonable estimate
for the number of chairs in the
auditorium?
A) 70 chairs
B) 120 chairs
C) 800 chairs
D) 1200 chairs
There are three fish tanks in a store. Each tank
has 4 goldfish and 5 angel fish in it. Write two
expressions that could be used to determine
the total number of fish there are in all. Then,
tell how many total fish there are in the store.
There are three fish tanks in a store. Each tank
has 4 goldfish and 5 angel fish in it. Write two
expressions that could be used to determine to
total number of fish there are in all. Then, tell
how many total fish there are in the store.
3 x (4 + 5) = (3 x 4) + (3 x 5)
There are a total of 27 fish in the store.
Which of the following sets of numbers are all
perfect squares?
A) 3, 6, 9, 12
B) 4, 9, 15, 25
C) 9, 25, 36, 64
D) 4, 16, 25, 75
Which of the following sets of numbers are all
perfect squares?
A) 3, 6, 9, 12
B) 4, 9, 15, 25
C) 9, 25, 36, 64
D) 4, 16, 25, 75
Which of the following numbers is
the square root of 9?
A) 3
B) 6
C) 9
D) 81
Which of the following numbers is
the square root of 9?
A) 3
B) 6
C) 9
D) 81
I am thinking of a number. My number is
a multiple of 4. My number is a square
number smaller than 50. My number is
greater than 20. What is my number?
A) 16
B) 28
C) 32
D) 36
I am thinking of a number. My number is
a multiple of 4. My number is a square
number smaller than 50. My number is
greater than 20. What is my number?
A) 16
B) 28
C) 32
D) 36
Kendra has 400 books at her house. She
gives 32 books to her cousin, 57 books to
her best friend and 75 books to the local
library. How many books did Kendra give
away? How many books does she have
left?
Kendra has 400 books at her house. She
gives 32 books to her cousin, 57 books to
her best friend and 75 books to the local
library. How many books did Kendra give
away? How many books does she have
left?
Kendra gave away 164 books
and has 236 books left.
I am thinking of a number. The
number I am thinking of is a prime
number greater than 25 and is odd.
The number is less than 35. The
sum of the digits of the number is
11. What is the number?
I am thinking of a number. The
number I am thinking of is a prime
number greater than 25 and is odd.
The number is less than 35. The
sum of the digits of the number is
11. What is the number?
The number I am
thinking of is 29.
Tom needs $50 to buy a toy. He has a total of $28 in his piggy bank.
Let x represent how much more money he needs to buy the toy.
Which two number sentences below could be used to find out how
much more money he needs? (Give two answers!)
A. 50 + 28 = x
B. 28 - x = 50
C. 28 + x = 50
D. 50 – 28 = x
Tom needs $50 to buy a toy. He has a total of $28 in his piggy
bank. Let x represent how much more money he needs to buy
the toy. Which two number sentences below could be used to
find out how much more money he needs? (Give two answers!)
A. 50 + 28 = x
B. 28 - x = 50
C. 28 + x = 50
D. 50 – 28 = x
Sally needs to take exactly 180 pieces of candy to
a party. She has five different bags of candy with
different amounts in each bag.
Bag A has 35 pieces.
Bag B has 79 pieces.
Bag C has 42 pieces.
Bag D has 47 pieces.
Bag E has 54 pieces.
Sally chooses Bags B and D. Which other bag
should she choose so she has exactly 180 pieces?
.
Sally needs to take exactly 180 pieces of candy to
a party. She has five different bags of candy with
different amounts in each bag.
Bag A has 35 pieces.
Bag B has 79 pieces.
Bag C has 42 pieces.
Bag D has 47 pieces.
Bag E has 54 pieces.
Sally chooses Bags B and D. Which other bag
should she choose so she has exactly 180 pieces?
Answer: Bag E
Becky has 8 different stacks of books with
n books in each stack. Which expression
below could be used to find the total
number of books Becky has all together?
A. 8 + n
B. 8 – n
C. 8n
D. 8 ÷ n
Becky has 8 different stacks of books with
n books in each stack. Which expression
below could be used to find the total
number of books Becky has all together?
A. 8 + n
B. 8 – n
C. 8n
D. 8 ÷ n
There are 6 cupcakes on the
counter. Each cupcake has 4
red stars, 2 blue stars and 3
white stars on it. How many
total stars are there in all?
There are 6 cupcakes on the
counter. Each cupcake has 4
red stars, 2 blue stars and 3
white stars on it. How many
total stars are there in all?
There are a total of 54 stars.
Look at the table below. Which of the following equations fits the table?
A) y – 4 = x
B) x – y = 2
C)x + y = 10
D)4x = y
x
y
2
8
6
4
8
2
9
1
10
0
Look at the table below. Which of the following equations fits the table?
A) y – 4 = x
B) x – y = 2
C)x + y = 10
D)4x = y
x
y
2
8
6
4
8
2
9
1
10
0
Joe and Bill are working on solving two different expressions. They know that in
their expressions x = 4 and y = 5.
The first expression they are working on is
x2 + y2
The second expression they are working on is
(x + y)2
Joe says that the first expression is greater and Bill says the second expression
is greater.
Who is right? Show your thinking.
Joe and Bill are working on solving two different expressions. They know that in
their expressions x = 4 and y = 5.
The first expression they are working on is
x2 + y2
The second expression they are working on is
(x + y)2
Joe says that the first expression is greater and Bill says the second expression
is greater.
Who is right? Show your thinking.
Answer: Bill is right. The first expression is equal to 41 and the
second expression is equal to 81.
Dr. Kempe had a total of 342 pieces of chocolate. She then ate n pieces, which
left her with 319 pieces of chocolate. Write an algebraic equation that describes
this situation and solve.
Algebraic equation: _____________________________
Solution: _______________________
Dr. Kempe had a total of 342 pieces of chocolate. She then ate n pieces, which
left her with 319 pieces of chocolate. Write an algebraic equation that describes
this situation and solve.
Algebraic equation: 342 – n = 319 OR 319 + n = 342
Solution: n = 23 pieces
There are 141 people that are going to
attend a party. Each table at the party can
seat 8 people. How many tables will be
needed at the party?
A)10 tables
B)17 tables
C)18 tables
D)22 tables
There are 141 people that are going to
attend a party. Each table at the party can
seat 8 people. How many tables will be
needed at the party?
A)10 tables
B)17 tables
C)18 tables
D)22 tables
Look at the graph below. Determine the mean number of vanilla ice cream
cones that were sold each day.
Look at the graph below. Determine the mean number of vanilla ice cream
cones that were sold each day.
Answer: The mean number of vanilla ice cream cones sold each day was
11.
Good luck on
your test!!